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Finding the Third Proportional to 53,296.31 and 114,657.19

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Solution

The third proportional to 53,296.31 and 114,657.19 is: 246,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,296.31 : 114,657.19 = 114,657.19 : x
  2. Step 2: Convert to fraction form
    53,296.31/114,657.19 = 114,657.19/x
  3. Step 3: Cross multiply
    53,296.31x = 114,657.19 × 114,657.19
  4. Step 4: Simplify right side
    53,296.31x = 13,146,270,645.41
  5. Step 5: Solve for x
    x = 13,146,270,645.41/53,296.31
  6. Step 6: Final answer
    x = 246,663.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.